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634286976 = 27315110939
BaseRepresentation
bin100101110011100…
…111001110000000
31122012112010011020
4211303213032000
52244334140401
6142534545440
721501231111
oct4563471600
91565463136
10634286976
112a6047214
12158508280
13a1541c4b
1460350208
153aa41d36
hex25ce7380

634286976 has 64 divisors (see below), whose sum is σ = 1696137600. Its totient is φ = 210009600.

The previous prime is 634286941. The next prime is 634287019. The reversal of 634286976 is 679682436.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52515 + ... + 63453.

It is an arithmetic number, because the mean of its divisors is an integer number (26502150).

Almost surely, 2634286976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 634286976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848068800).

634286976 is an abundant number, since it is smaller than the sum of its proper divisors (1061850624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

634286976 is a wasteful number, since it uses less digits than its factorization.

634286976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11107 (or 11095 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 51.

The square root of 634286976 is about 25185.0546157835. The cubic root of 634286976 is about 859.2019710811.

The spelling of 634286976 in words is "six hundred thirty-four million, two hundred eighty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 151 192 302 384 453 604 906 1208 1812 2416 3624 4832 7248 9664 10939 14496 19328 21878 28992 32817 43756 57984 65634 87512 131268 175024 262536 350048 525072 700096 1050144 1400192 1651789 2100288 3303578 4200576 4955367 6607156 9910734 13214312 19821468 26428624 39642936 52857248 79285872 105714496 158571744 211428992 317143488 634286976